What is the Greatest Common Factor of 26809 and 26827?

Greatest common factor (GCF) of 26809 and 26827 is 1.

GCF(26809,26827) = 1

We will now calculate the prime factors of 26809 and 26827, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26809 and 26827.

How to find the GCF of 26809 and 26827?

We will first find the prime factorization of 26809 and 26827. After we will calculate the factors of 26809 and 26827 and find the biggest common factor number .

Step-1: Prime Factorization of 26809

Prime factors of 26809 are 17, 19, 83. Prime factorization of 26809 in exponential form is:

26809 = 17¹ × 19¹ × 83¹

Step-2: Prime Factorization of 26827

Prime factors of 26827 are 139, 193. Prime factorization of 26827 in exponential form is:

26827 = 139¹ × 193¹

Step-3: Factors of 26809

List of positive integer factors of 26809 that divides 26809 without a remainder.

1, 17, 19, 83, 323, 1411, 1577

Step-4: Factors of 26827

List of positive integer factors of 26827 that divides 26809 without a remainder.

1, 139, 193

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26809 and 26827. The biggest common factor number is the GCF number.
So the greatest common factor 26809 and 26827 is 1.

Also check out the Least Common Multiple of 26809 and 26827